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4=-4.9x^2+26x
We move all terms to the left:
4-(-4.9x^2+26x)=0
We get rid of parentheses
4.9x^2-26x+4=0
a = 4.9; b = -26; c = +4;
Δ = b2-4ac
Δ = -262-4·4.9·4
Δ = 597.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-\sqrt{597.6}}{2*4.9}=\frac{26-\sqrt{597.6}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+\sqrt{597.6}}{2*4.9}=\frac{26+\sqrt{597.6}}{9.8} $
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